4001331264 has 112 divisors (see below), whose sum is σ = 12117482496. Its totient is φ = 1141516800.

The previous prime is 4001331251. The next prime is 4001331281. The reversal of 4001331264 is 4621331004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088149 + ... + 1091819.

It is an arithmetic number, because the mean of its divisors is an integer number (108191808).

Almost surely, 2^4001331264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058741248).

4001331264 is an abundant number, since it is smaller than the sum of its proper divisors (8116151232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4001331264 is a wasteful number, since it uses less digits than its factorization.

4001331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4001331264 is about 63256.0768938448. The cubic root of 4001331264 is about 1587.5771365912.

Adding to 4001331264 its reverse (4621331004), we get a palindrome (8622662268).

The spelling of 4001331264 in words is "four billion, one million, three hundred thirty-one thousand, two hundred sixty-four".